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Finding the Fourth Proportional to 16,644.84, 24,964.26 and 7,283.04

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Solution

The fourth proportional to 16,644.84, 24,964.26 and 7,283.04 is: 10,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,644.84 : 24,964.26 = 7,283.04 : x
  2. Step 2: Convert to fraction form
    16,644.84/24,964.26 = 7,283.04/x
  3. Step 3: Cross multiply
    16,644.84x = 24,964.26 × 7,283.04
  4. Step 4: Simplify right side
    16,644.84x = 181,815,704.15
  5. Step 5: Solve for x
    x = 181,815,704.15/16,644.84
  6. Step 6: Final answer
    x = 10,923.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.